A198498 Decimal expansion of x>0 having 3*x^2+x=2*sin(x).
3, 2, 1, 8, 8, 0, 8, 9, 8, 7, 4, 2, 3, 6, 4, 2, 3, 9, 8, 6, 1, 8, 3, 3, 8, 4, 5, 3, 9, 4, 4, 7, 8, 4, 5, 2, 8, 3, 6, 6, 7, 9, 7, 7, 6, 7, 5, 0, 1, 1, 4, 2, 7, 1, 4, 3, 5, 1, 9, 1, 1, 2, 9, 3, 4, 6, 9, 1, 4, 8, 7, 1, 9, 1, 5, 2, 6, 7, 9, 1, 6, 3, 3, 1, 0, 6, 2, 4, 1, 3, 2, 0, 2, 7, 3, 6, 6, 4, 9
Offset: 0
Examples
0.3218808987423642398618338453944...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 3; b = 1; c = 2; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -1, 1}] r = x /. FindRoot[f[x] == g[x], {x, .32, .33}, WorkingPrecision -> 110] RealDigits[r] (* A198498 *)
Comments